Is this the full question?
Answer:
x = 36.5
Step-by-step explanation:
The two triangles are similar so we can use the similarity ratio to find x
AB ~ DE and BD ~ BA
15/31 = x/(x+39) cross multiply expressions
31x = 15x + 585
31x - 15x = 585
16x = 585 divide both sides by 16
x = 36.5 approximately
Answer:
1 7/9 ounces
Step-by-step explanation:
The final solution will be 9 parts water and 1 part hydrogen peroxide (so that hydrogen peroxide makes up 1 of 10 parts of the solution).
Then each "part" is (16 ounces)/9 = 1 7/9 ounces.
1 7/9 ounces of hydrogen peroxide must be added to 16 ounces of water to make a 10% solution.
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<em>Check</em>
The total amount of solution is 16 +1 7/9 = 17 7/9 ounces = 160/9 ounces. The amount that is hydrogen peroxide is 16/9 ounces, so the fraction that is hydrogen peroxide is ...
(16/9) / (160/9) = 16/160 = 1/10 = 10%